Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method.  Pam likes strawberry twice as much as chocolate or vanilla.   Rob only likes chocolate.  Sam, the chooser, likes vanilla and strawberry twice as much as chocolate.  In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece.  Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?

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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method.  Pam likes strawberry twice as much as chocolate or vanilla.   Rob only likes chocolate.  Sam, the chooser, likes vanilla and strawberry twice as much as chocolate.  In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece.  Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.



Which is a second division that Rob would make of his share of the cake?

 

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